Title: Classical and quantum entropy of parton distributions

We introduce the semiclassical Wehrl entropy for the nucleon as a measure of complexity of the multiparton configuration in phase space. This gives a new perspective on the nucleon tomography. We evaluate the entropy in the small-x region and compare with the quantum von Neumann entropy. We also argue that the growth of entropy at small x is eventually slowed down due to the Pomeron loop effect.

@article{osti_1439376,
title = {Classical and quantum entropy of parton distributions},
author = {Hagiwara, Yoshikazu and Hatta, Yoshitaka and Xiao, Bo-Wen and Yuan, Feng},
abstractNote = {We introduce the semiclassical Wehrl entropy for the nucleon as a measure of complexity of the multiparton configuration in phase space. This gives a new perspective on the nucleon tomography. We evaluate the entropy in the small-x region and compare with the quantum von Neumann entropy. We also argue that the growth of entropy at small x is eventually slowed down due to the Pomeron loop effect.},
doi = {10.1103/PhysRevD.97.094029},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

We introduce the semiclassical Wehrl entropy for the nucleon as a measure of complexity of the multiparton configuration in phase space. This gives a new perspective on the nucleon tomography. We evaluate the entropy in the small-x region and compare with the quantum von Neumann entropy. We also argue that the growth of entropy at small x is eventually slowed down due to the Pomeron loop effect.